x*sqrt{2}-2y=4 eching

$$x \cdot \sqrt { 2 } - 2 y = 4$$

x uchun yechish

$$x=\sqrt{2}\left(y+2\right)$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

2y ni ikki tarafga qo’shing.

$$x\sqrt{2}=4+2y$$

Tenglama standart shaklda.

$$\sqrt{2}x=2y+4$$

Ikki tarafini \sqrt{2} ga bo‘ling.

$$\frac{\sqrt{2}x}{\sqrt{2}}=\frac{2y+4}{\sqrt{2}}$$

\sqrt{2} ga bo'lish \sqrt{2} ga ko'paytirishni bekor qiladi.

$$x=\frac{2y+4}{\sqrt{2}}$$

4+2y ni \sqrt{2} ga bo'lish.

$$x=\sqrt{2}\left(y+2\right)$$

y uchun yechish

$$y=\frac{\sqrt{2}x-4}{2}$$

Chiziqli tenglamalarni yechish bo'yicha qadamlar

Ikkala tarafdan x\sqrt{2} ni ayirish.

$$-2y=4-x\sqrt{2}$$

Shartlarni qayta saralash.

$$-2y=-\sqrt{2}x+4$$

Ikki tarafini -2 ga bo‘ling.

$$\frac{-2y}{-2}=\frac{-\sqrt{2}x+4}{-2}$$

-2 ga bo'lish -2 ga ko'paytirishni bekor qiladi.

$$y=\frac{-\sqrt{2}x+4}{-2}$$

-\sqrt{2}x+4 ni -2 ga bo'lish.

$$y=\frac{\sqrt{2}x}{2}-2$$